Atkin-Lehner |
2+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9568a |
Isogeny class |
Conductor |
9568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
440128 = 26 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [0:6:1] |
Generators of the group modulo torsion |
j |
27000000/6877 |
j-invariant |
L |
5.3118602445223 |
L(r)(E,1)/r! |
Ω |
2.7849183030565 |
Real period |
R |
1.9073666321532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9568i1 19136l2 86112y1 124384m1 |
Quadratic twists by: -4 8 -3 13 |